Equivalent Markov processes under gauge group

Autores
Caruso, M.; Jarne, Cecilia Gisele
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We have studied Markov processes on denumerable state space and continuous time. We found that all these processes are connected via gauge transformations. We have used this result before as a method for resolution of equations, included the case where the sample space is time dependent in a previous work Phys. Rev. E 90, 022125 (2014). We found a general solution through a dilation of the state space, although the prior probability distribution of the states defined in this new space takes smaller values with respect to the one in the initial problem. The gauge (local) group of dilations modifies the distribution on the dilated space to restore the original process. In this work we show how Markov process in general could be linked via gauge (local) transformations and we present some illustrative examples for this results.
Fil: Caruso, M.. Universidad de Granada; España
Fil: Jarne, Cecilia Gisele. Universidad Nacional de Quilmes; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Markov Processes
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
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Acceder
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spelling Equivalent Markov processes under gauge groupCaruso, M.Jarne, Cecilia GiseleMarkov Processeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We have studied Markov processes on denumerable state space and continuous time. We found that all these processes are connected via gauge transformations. We have used this result before as a method for resolution of equations, included the case where the sample space is time dependent in a previous work Phys. Rev. E 90, 022125 (2014). We found a general solution through a dilation of the state space, although the prior probability distribution of the states defined in this new space takes smaller values with respect to the one in the initial problem. The gauge (local) group of dilations modifies the distribution on the dilated space to restore the original process. In this work we show how Markov process in general could be linked via gauge (local) transformations and we present some illustrative examples for this results.Fil: Caruso, M.. Universidad de Granada; EspañaFil: Jarne, Cecilia Gisele. Universidad Nacional de Quilmes; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Physical Society2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/44535Caruso, M.; Jarne, Cecilia Gisele; Equivalent Markov processes under gauge group; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 15; 11-2015; 1-71539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.052132info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.052132info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:07:01Zoai:ri.conicet.gov.ar:11336/44535instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:07:01.325CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Equivalent Markov processes under gauge group
title Equivalent Markov processes under gauge group
spellingShingle Equivalent Markov processes under gauge group
Caruso, M.
Markov Processes
title_short Equivalent Markov processes under gauge group
title_full Equivalent Markov processes under gauge group
title_fullStr Equivalent Markov processes under gauge group
title_full_unstemmed Equivalent Markov processes under gauge group
title_sort Equivalent Markov processes under gauge group
dc.creator.none.fl_str_mv Caruso, M.
Jarne, Cecilia Gisele
author Caruso, M.
author_facet Caruso, M.
Jarne, Cecilia Gisele
author_role author
author2 Jarne, Cecilia Gisele
author2_role author
dc.subject.none.fl_str_mv Markov Processes
topic Markov Processes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We have studied Markov processes on denumerable state space and continuous time. We found that all these processes are connected via gauge transformations. We have used this result before as a method for resolution of equations, included the case where the sample space is time dependent in a previous work Phys. Rev. E 90, 022125 (2014). We found a general solution through a dilation of the state space, although the prior probability distribution of the states defined in this new space takes smaller values with respect to the one in the initial problem. The gauge (local) group of dilations modifies the distribution on the dilated space to restore the original process. In this work we show how Markov process in general could be linked via gauge (local) transformations and we present some illustrative examples for this results.
Fil: Caruso, M.. Universidad de Granada; España
Fil: Jarne, Cecilia Gisele. Universidad Nacional de Quilmes; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We have studied Markov processes on denumerable state space and continuous time. We found that all these processes are connected via gauge transformations. We have used this result before as a method for resolution of equations, included the case where the sample space is time dependent in a previous work Phys. Rev. E 90, 022125 (2014). We found a general solution through a dilation of the state space, although the prior probability distribution of the states defined in this new space takes smaller values with respect to the one in the initial problem. The gauge (local) group of dilations modifies the distribution on the dilated space to restore the original process. In this work we show how Markov process in general could be linked via gauge (local) transformations and we present some illustrative examples for this results.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/44535
Caruso, M.; Jarne, Cecilia Gisele; Equivalent Markov processes under gauge group; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 15; 11-2015; 1-7
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/44535
identifier_str_mv Caruso, M.; Jarne, Cecilia Gisele; Equivalent Markov processes under gauge group; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 15; 11-2015; 1-7
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.052132
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.052132
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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